On the Yang–Lee edge singularity for Ising model on nonhomogeneous structures

Milan Knežević, Jelena Joksimović and Dragica Knežević

Physica A: Statistical Mechanics and its Applications, 2006, vol. 367, issue C, 207-214

Abstract: We studied distribution of zeros of the partition function of ferromagnetic Ising model near the Yang–Lee edge on two self-similar structures. We have shown that the nature of associated critical behavior crucially depends on the local lattice structure: If the sites of higher coordination number make an infinite connected cluster then we find an usual power-law behavior, while a logarithmic divergence of the correlation length develops near the edge in the case that these sites make only finite islands. We reveal also a close connection between Yang–Lee edge critical behavior and critical behavior of a simple zero-field Gaussian model on the same structures.

Keywords: Yang–Lee edge; Fractals; Renormalization-group (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:367:y:2006:i:c:p:207-214

DOI: 10.1016/j.physa.2005.11.008

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